Question

[ 1 ] check whether -3 and 3 are the zeroes of the polynomial x² - 9.

Answer 1

Answer:

#1

• x² - 9 = 0
• x² = 9
• x = ± √9
• x = ± 3

Yes, -3 and 3 are zeroes of this polynomial

#2

See attached graphs

Zero's of a polynomial are the intersection of the graph with the x-axis.

They include coordinates as (x, 0), so the x-coordinates are zero's.

The attached shows the zero's.

#3

See attached graphs

Zero's of each polynomial are reflected in the graphs.

• () y = x² - x - 6 has zeros x = -2 and x = 3
• (ii) y = 6 - x - x² has zero's x = -3, x = 2